Maharashtra Board Class 8 Maths Chapter 11 Statistics Set 11.3 Solutions

Question 1. Show the following information by a percentage bar graph.

Answer: Solution:

ℹ️ चित्र व्याख्या (Diagram Explanation): यह चित्र एक प्रतिशत बार ग्राफ दर्शाता है जो मानक 8 के छात्रों के ग्रेड A प्राप्त करने और न प्राप्त करने के प्रतिशत को दर्शाता है। इसमें चार अलग-अलग डिवीजन (A, B, C, D) हैं, जहाँ प्रत्येक बार कुल छात्रों का 100% प्रतिनिधित्व करता है और दो खंडों में विभाजित है: ग्रे भाग ग्रेड A प्राप्त करने वाले छात्रों को दर्शाता है, और सफेद भाग ग्रेड A प्राप्त न करने वाले छात्रों को दर्शाता है। Y-अक्ष छात्रों की संख्या का प्रतिशत दर्शाता है और X-अक्ष डिवीजन को दर्शाता है।
In simple words: This question asks us to represent the given data of students securing Grade A from different divisions as a percentage bar graph. We first calculate the percentages of students securing and not securing Grade A for each division, and then draw bars where each bar represents 100% of students for a division, segmented according to these percentages.

🎯 Exam Tip: For percentage bar graphs, always ensure each bar represents 100% and is subdivided proportionally. Label axes clearly with units and provide a proper scale and legend for full marks.

Question 2. Observe the following graph and answer the questions.
ℹ️ चित्र व्याख्या (Diagram Explanation): यह चित्र एक प्रतिशत बार ग्राफ दर्शाता है जो किसानों (अजिता, यश, रवि, सुधा) द्वारा अपने खेतों में तुअर और ग्राम के उत्पादन के प्रतिशत को दर्शाता है। प्रत्येक बार कुल उत्पादन का 100% प्रतिनिधित्व करता है और दो खंडों में विभाजित है: ग्रे भाग तुअर का उत्पादन दर्शाता है, और सफेद भाग ग्राम का उत्पादन दर्शाता है। Y-अक्ष खेत में उत्पादन का प्रतिशत दर्शाता है और X-अक्ष किसान को दर्शाता है।
(1) State the type of the bar graph.
(2) How much percent is the Tur production to total production in Ajita's farm?
(3) Compare the production of Gram in the farms of Yash and Ravi and state whose percentage of production is more and by how much?
(4) Whose percentage production of Tur is the least?
(5) State production percentages of Tur and Gram in Sudha's farm.
Answer: Solution:
(1) The given graph is a percentage bar graph.
(2) Percent of tur production to the total production in Ajita's farm is 60%.
(3) Production of Gram in the farm of Yash = 50%
Production of Gram in the farm of Ravi = 30%
∴ Difference in the production = 50% - 30% =20%
∴ Yash's production of Gram is more and by 20%.
(4) Sudha's percentage production of Tur is the least.
(5) Production percentages of Tur and Gram in Sudha's farm are 40% and 60% respectively.
In simple words: This question requires us to analyze a percentage bar graph showing Tur and Gram production by different farmers. We need to identify the graph type, calculate specific percentages from the bars, compare production between farmers, and find the least production, all based on the visual data.

🎯 Exam Tip: When interpreting graphs, pay close attention to the labels, scale, and legend. For comparative questions, clearly state the values being compared and the difference. Ensure all sub-parts are addressed comprehensively.

Question 3. The following data is collected in a survey of some students of 10th standard from some schools. Draw the percentage bar graph of the data.

Answer: Solution:

ℹ️ चित्र व्याख्या (Diagram Explanation): यह चित्र एक प्रतिशत बार ग्राफ दर्शाता है जो विभिन्न स्कूलों (1st, 2nd, 3rd, 4th) के छात्रों की विज्ञान और वाणिज्य स्ट्रीम के प्रति रुचि को दर्शाता है। प्रत्येक बार कुल छात्रों का 100% प्रतिनिधित्व करता है और दो खंडों में विभाजित है: ग्रे भाग विज्ञान स्ट्रीम की ओर झुकाव वाले छात्रों को दर्शाता है, और सफेद भाग वाणिज्य स्ट्रीम की ओर झुकाव वाले छात्रों को दर्शाता है। Y-अक्ष छात्रों की संख्या का प्रतिशत दर्शाता है और X-अक्ष स्कूल को दर्शाता है।
In simple words: This question requires us to take raw data on student inclinations towards science and commerce streams across different schools, calculate the percentages for each stream within each school, and then visually represent this information using a percentage bar graph.

🎯 Exam Tip: Accuracy in percentage calculations is vital before drawing the graph. Ensure the graph is neat, properly scaled, and all components like the title, axis labels, and legend are clearly indicated to convey the information effectively.

Maharashtra Board Class 8 Maths Chapter 11 Statistics Practice Set 11.3 Intext Questions And Activities

Question 1. Compare and discuss a percentage bar diagram and a subdivided bar diagram. Use it to learn the graphs in the subjects like Science, Geography. (Textbook pg, no. 74)
Answer: [Students should attempt the above activity on their own.].
In simple words: This activity asks students to understand the differences and similarities between percentage bar diagrams and subdivided bar diagrams. They need to explain how these graphs are constructed, what kind of data they represent best, and give examples of their use in subjects like Science and Geography.

🎯 Exam Tip: For comparative questions, create a clear distinction between the two concepts by listing their unique features, advantages, and appropriate use cases. Real-world examples from specified subjects will enhance the answer.